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Finding the Fourth Proportional to 411,259.40, 616,428.30 and 211,502.60

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Solution

The fourth proportional to 411,259.40, 616,428.30 and 211,502.60 is: 317,016.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,259.40 : 616,428.30 = 211,502.60 : x
  2. Step 2: Convert to fraction form
    411,259.40/616,428.30 = 211,502.60/x
  3. Step 3: Cross multiply
    411,259.40x = 616,428.30 × 211,502.60
  4. Step 4: Simplify right side
    411,259.40x = 130,376,188,163.58
  5. Step 5: Solve for x
    x = 130,376,188,163.58/411,259.40
  6. Step 6: Final answer
    x = 317,016.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.